Determine the local extrema of the function.
-$f(x, y)=x^{2}-y^{2}$
A) $\mathrm{f}(1,1)=0$, maximum
B) $f(0,0)=0$, minimum
C) $\mathrm{f}(0,0)=0$, maximum
D) None

Name: Determine the local extrema of the function. -$f(x, y)=x^{2}-y^{2}$ A) $\mathrm{f}(1,1)=0$, maximum B) $f(0,0)=0$, minimum C) $\mathrm{f}(0,0)=0$, maximum D) None
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The function $f(x, y) = x^2 - y^2$ is a hyperbolic paraboloid, which does not have local extrema at any point, including the origin.

Determine the Local Extrema of the Function f(x,y)=x2−y2f(x, y)=x^{2}-y^{2}f(x,y)=x2−y2 A) f(1,1)=0\mathrm{f}(1,1)=0f(1,1)=0 , Maximum B)

Determine the Local Extrema of the Function $f(x, y)=x^{2}-y^{2}$ A) $\mathrm{f}(1,1)=0$ , Maximum
B)